2 2 f(x, y) = 4x² - y² a) Sketch traces for some values of f(x, y) = k, xz-trace and yz-trace, and hence sketch the contour lines and the surface z = f(x, y).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 20E
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2
f(x, y) = 4 - x² - y²
a) Sketch traces for some values of f(x, y) = k, xz-trace and yz-trace, and hence sketch
the contour lines and the surface z =
f(x, y).
Transcribed Image Text:2 f(x, y) = 4 - x² - y² a) Sketch traces for some values of f(x, y) = k, xz-trace and yz-trace, and hence sketch the contour lines and the surface z = f(x, y).
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